Answer: x = 4 , y = -3
Step-by-step explanation:
Going by the Cramer's rule , we first determine the determinant by dealing with only the coefficients of x and y in the 2 x 2 matrix.
2x - 3y = 17
5x + 4y = 8
2 -3
5 4, going by the rule now, we now have
(2 x 4) - (5 x -3)
8 + 15
= 23.
Now to find the value of x , replace the constants with the coefficient of x and divide by he determinants.
17 -3
8 4
---------------
2 -3
5 4
( 17 x 4 ) - ( 8 x -3 )
---------------------------
23
= 68 + 24
------------
23
= 92/23
= 4.
x = 4
Now to find y, just repeat the process by replacing the coefficient of y with the constants.
2 17
5 8
-----------
2 -3
5 4
( 2 x 8 ) - ( 5 x 17 )
-----------------------
23
16 - 85
---------
23
= -69/23
= -3
y = -3.
check
substitute for the values in any of the equations above.
2(4) - 3(-3)
8 + 9
= 17
Percentage of students that are girls in the class = 60%
Number of girls in the class = 18
Let us assume the total number of students in the class = x
Then
60% * x = 18
(60/100) * x = 18
6x/10 = 18
6x = 18 * 10
6x = 180
x = 180/6
= 30
So the total number of students in the class is 30.
Number of boys in the class = 30 - 18
= 12
So there are 12 boys in the class. I hope the procedure is simple enough for you to understand.
Answer: Answer is 3
BC 6
------ = ------
XY 3
Step-by-step explanation:
The statements below can be used to prove that the triangles are similar.
On a coordinate plane, right triangles A B C and X Y Z are shown. Y Z is 3 units long and B C is 6 units long.
A B Over X Y = 4 Over 2
?
A C Over X Z = 52 Over 13
△ABC ~ △XYZ by the SSS similarity theorem.
Which mathematical statement is missing?
1. Y Z Over B C = 6 Over 3
2. ∠B ≅ ∠Y
3. B C Over Y Z = 6 Over 3
4. ∠B ≅ ∠Z
Closer to 2. If you round it, because the number after the 2 is less than 5 you round it down so it's closer to 2
Answer:
T is 17
Step-by-step explanation: 14 minus 14 is 0 and you add the extra 3 to become -3. so the answer is 17
